133013001000 has 384 divisors, whose sum is σ = 463712820480. Its totient is φ = 31711680000.

The previous prime is 133013000999. The next prime is 133013001041. The reversal of 133013001000 is 100310331.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22139997 + ... + 22146003.

It is an arithmetic number, because the mean of its divisors is an integer number (1207585470).

Almost surely, 2^133013001000 is an apocalyptic number.

133013001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133013001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231856410240).

133013001000 is an abundant number, since it is smaller than the sum of its proper divisors (330699819480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133013001000 is a wasteful number, since it uses less digits than its factorization.

133013001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6114 (or 6089 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 133013001000 its reverse (100310331), we get a palindrome (133113311331).

The spelling of 133013001000 in words is "one hundred thirty-three billion, thirteen million, one thousand".